Atkin-Lehner |
5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89425w |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
1610991654453125 = 57 · 710 · 73 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- -6 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-920383,-340162231] |
[a1,a2,a3,a4,a6] |
Generators |
[106532:3351693:64] |
Generators of the group modulo torsion |
j |
19535724544/365 |
j-invariant |
L |
2.7337383611943 |
L(r)(E,1)/r! |
Ω |
0.15413733828467 |
Real period |
R |
8.8678655008995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999708975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17885l1 89425a1 |
Quadratic twists by: 5 -7 |